The answer is 18 + 6√3 or 18 + <span>√108.</span>
In a<span> 30°-60°-90° triangle, the hypotenuse (c) is twice the length of the shorter leg (a):
c = 2a </span>⇒ a = c ÷ 2 = 12 ÷ 2 = 6<span>
In a </span>30°-60°-90° triangle, the longer leg is equal to the shorter leg multiplied by √3:
b = √3a = √3 · 6
Now we have the length of all three sides:
a = 6
b = 6√3 = √6² · √3 = √36 · √3 = √(36 · 3) = √108
c = 12
So, the perimeter (P) of the triangle is:
P = a + b + c = 6 + 6√3 + 12 = 18 + <span>6√3 = 18 + </span>√108
Answer:
3-2/3
Step-by-step explanation:
Ask yourself how many times does this go into that.
3 goes into 11 evenly 3 times thus leaving 2 left over
Your denominator remains the same.
3-2/3
You can then check your answer 3 x 3 = 9 + 2 = 11
Answer:
Step-by-step explanation:
g(x)=ax²+3x-5
then g(-1)=-15
therefore g(-1) ⇒ a(-1)²+3(-1)-5=-15
a-3-5=-15
a-8=-15
a=-15+8
a=-7
for g(-1)=-15
then g(x)= -7x²+3x-5
Answer is 6:35. Everything you need to do is to sum.
Answer:
9043.20 cm^3
Step-by-step explanation:
volume of can = π r^2 h
= (3.14) (12)^2 (20)
=9043.2 cm^3
